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Finding the Fourth Proportional to 15,769.24, 23,641.04 and 6,413.64

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Solution

The fourth proportional to 15,769.24, 23,641.04 and 6,413.64 is: 9,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.24 : 23,641.04 = 6,413.64 : x
  2. Step 2: Convert to fraction form
    15,769.24/23,641.04 = 6,413.64/x
  3. Step 3: Cross multiply
    15,769.24x = 23,641.04 × 6,413.64
  4. Step 4: Simplify right side
    15,769.24x = 151,625,119.79
  5. Step 5: Solve for x
    x = 151,625,119.79/15,769.24
  6. Step 6: Final answer
    x = 9,615.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.